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Description of Statistical Computation

Author's title

Author*Unverified author*
R Software Modulerwasp_arimabackwardselection.wasp
Title produced by softwareARIMA Backward Selection
Date of computationMon, 03 Dec 2007 08:00:29 -0700
Cite this page as followsStatistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2007/Dec/03/t1196693532t3jvtku69olp8fd.htm/, Retrieved Fri, 03 May 2024 19:11:21 +0000
Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=2341, Retrieved Fri, 03 May 2024 19:11:21 +0000
QR Codes:

Original text written by user:
IsPrivate?No (this computation is public)
User-defined keywords
Estimated Impact185

Tree of Dependent Computations

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)
-       [ARIMA Backward Selection] [output2] [2007-12-03 15:00:29] [ba8414dd214a21fbd6c7bde748ac585f] [Current]
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Dataset

Dataseries X:
Download CSV
Histogram
Boxplots 
10,31
11,17
12,42
13,24
14,19
14,04
14,47
15,5
15,73
16,39
15,54
14,76
14,89
14,37
15,33
15,75
15,68
16,24
17,27
17,95
18,26
18,74
18,73
19,53
19,87
19,95
20,24
21,42
22,34
22,33
22,87
22,18
21,23
21,58
21,6
21,54
23,19
24,01
24,51
24,16
24,65
24,51
24,32
23,19
23,45
25,15
25,54
25,55
26,04
26,49
25,94
26,31
28,39
26,97
25,28
24,73
23,75
22,1
22,79
23,63
24,54
26,42
27,64
27,67
27,9
28,07
29,34
28,49
29,11
28,52
28,01
27,24
25,22
25
26,47
27,67
28,4
31,66
30,47
31,67
28,96
28,75
30,54
30,03
30,66
29,51
30,11
30,98
30,28
29,5
25,24
23,01
21,82
20,89
21,87
23,01
23,37
24,63
24,33
26,92
25,79
24,78
23,81
24,65
23,69
23,17
23,38
23,48
24,63
25,44
25,02
25,88
25,79
25,89
26,87
27,1
26,8
26,48
24,92
24,34
23,62
23,8
22,83
23,42
23,71
24,47
24,93
24,25
24,89
25,02
25,02
25,31
21,47
20,39
19,92
19,29
19,21
18,62
17,87
17,68
16,51
17,29
17,82
16,91
17,58
18,57
18,94
19,71
18
17,56
18,18
18,51
19,19
18,74
19,11
20,4
21,92
22,88
23,38
25,09
23,88
22,84
24,18
24,66
24,13
24,89
23,8
22,99
22,47
22,08
23,22
23,68
23,65
24,01
24,86
24,2
24,11
23,91
24,86
26
25,83
25,85
26,92
26,75
27,55
27,5
26,89
26,93
25,69
24,28
23,02
21,94
22,5
23,32
24,15
24,84
27
28,5
28,47
28,22
29,05
29,35
29,18
29,61
30,86
30,92
31,43
31,44
31,33
26,92
24,21
24,94
23,24
23,23
23,55
21,65
21,85
23,51
24,04
24,2
25,04
25,51
24,58
25,04
26,13
26,47
27,25
26,64
26,54
28,18
28,23
27,62
28,26
27,15
25,98
24,98
24,88
26,37
27,75
29,48
27,78
27,14
26,61
27,81
28,49
27,6
27,35
28,21
28,97
28,32
28,22
29,2
29,97
29,52
28,84
27,43
27,45
28,8
29,21
30,54
30,92
31,26
31,28
30,02
30,14
31,33
31,42
31,91
33,72
34,99
35,98
35,28
35,09
33,08
32,9
33,05
32,02
34,36
34,99
35,74
36,6
37,64
38,58
40,49
39,67
37,63
37,58
37,78
39,85
41,19
42,2
44,03
44,08
44,72
40,99
38,7
36,18
38,26
37,23
32,75
33,76
36,3
33,29
35,21
38,3
39,7
41,89
40,55
39,59
41,4
44,04
45,15
47,23
48,69
49,6
48,06
50,95
47,2
46,93
48,58
45,8
45,64
43,53
44,25
47,29
49,05
50,16
53,08
53,52
54,35
54,49
52,62
53,59
55,51
58,07
59,61
59,95
62,36
60,22
58,1
59,63
58,83
56,35
54,62
54,04
53,45
53,62
52,73
50,24
50,29
50,28
52,94
54,76
52,64
52,22
56,18
57,89
59,34
60,9
60,65
58,26
55,78
55,76
57,51
57,54
57,75
57,89
59,91
62,17
63,68
66,99
67,59
67,53
66,03
64,63
64,12
65,11
64,81
63,33
63
65,7
68,32
69,12
70,26
68,71
70,23
72,1
68,67
67,48
65,87
63,38
59,77
57,55
56,07
55,73
55,22
55,63
55,45
55
55,8
56
54,73
57,27
59,41
58,1
58,46
57,33
55,06
50,75
48,39
50,17
51,81
54,19
53,74
54,4
57,98
58,3
57,94
57,73
61,7
64,73
64,52
63,99
64,35
64,42
62,55
64,9
67,39
65,88
66,99
66,63
68,51
68,02
70,15
73,73
74,5
73,74
73,83
69,98
68,5
67,52
68,83
71,76
73,84
75,54
76,52
76,18
76,22
80,58
81,62
86,47
86,47

Tables (Output of Computation)





Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time28 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135

\begin{tabular}{lllllllll}
\hline
Summary of compuational transaction \tabularnewline
Raw Input & view raw input (R code)  \tabularnewline
Raw Output & view raw output of R engine  \tabularnewline
Computing time & 28 seconds \tabularnewline
R Server & 'Gwilym Jenkins' @ 72.249.127.135 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2341&T=0

[TABLE]
[ROW][C]Summary of compuational transaction[/C][/ROW]
[ROW][C]Raw Input[/C][C]view raw input (R code) [/C][/ROW]
[ROW][C]Raw Output[/C][C]view raw output of R engine [/C][/ROW]
[ROW][C]Computing time[/C][C]28 seconds[/C][/ROW]
[ROW][C]R Server[/C][C]'Gwilym Jenkins' @ 72.249.127.135[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2341&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2341&T=0

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Summary of compuational transaction
Raw Inputview raw input (R code)
Raw Outputview raw output of R engine
Computing time28 seconds
R Server'Gwilym Jenkins' @ 72.249.127.135






ARIMA Parameter Estimation and Backward Selection
Iterationar1ar2ar3ma1sar1sar2sma1
Estimates ( 1 )0.2613-0.03290.0656-0.9999-0.05480.005-0.998
(p-val)(0 )(0.5121 )(0.1758 )(0 )(0.2701 )(0.9212 )(0 )
Estimates ( 2 )0.2609-0.03250.0654-1.0001-0.05520-1.0022
(p-val)(0 )(0.5161 )(0.1768 )(0 )(0.2644 )(NA )(0 )
Estimates ( 3 )0.253100.0576-1.0001-0.05450-1.002
(p-val)(0 )(NA )(0.2197 )(0 )(0.2703 )(NA )(0 )
Estimates ( 4 )0.253200.0579-1.000100-1.0011
(p-val)(0 )(NA )(0.2181 )(0 )(NA )(NA )(0 )
Estimates ( 5 )0.255800-1.000100-1.0011
(p-val)(0 )(NA )(NA )(0 )(NA )(NA )(0 )
Estimates ( 6 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )

\begin{tabular}{lllllllll}
\hline
ARIMA Parameter Estimation and Backward Selection \tabularnewline
Iteration & ar1 & ar2 & ar3 & ma1 & sar1 & sar2 & sma1 \tabularnewline
Estimates ( 1 ) & 0.2613 & -0.0329 & 0.0656 & -0.9999 & -0.0548 & 0.005 & -0.998 \tabularnewline
(p-val) & (0 ) & (0.5121 ) & (0.1758 ) & (0 ) & (0.2701 ) & (0.9212 ) & (0 ) \tabularnewline
Estimates ( 2 ) & 0.2609 & -0.0325 & 0.0654 & -1.0001 & -0.0552 & 0 & -1.0022 \tabularnewline
(p-val) & (0 ) & (0.5161 ) & (0.1768 ) & (0 ) & (0.2644 ) & (NA ) & (0 ) \tabularnewline
Estimates ( 3 ) & 0.2531 & 0 & 0.0576 & -1.0001 & -0.0545 & 0 & -1.002 \tabularnewline
(p-val) & (0 ) & (NA ) & (0.2197 ) & (0 ) & (0.2703 ) & (NA ) & (0 ) \tabularnewline
Estimates ( 4 ) & 0.2532 & 0 & 0.0579 & -1.0001 & 0 & 0 & -1.0011 \tabularnewline
(p-val) & (0 ) & (NA ) & (0.2181 ) & (0 ) & (NA ) & (NA ) & (0 ) \tabularnewline
Estimates ( 5 ) & 0.2558 & 0 & 0 & -1.0001 & 0 & 0 & -1.0011 \tabularnewline
(p-val) & (0 ) & (NA ) & (NA ) & (0 ) & (NA ) & (NA ) & (0 ) \tabularnewline
Estimates ( 6 ) & NA & NA & NA & NA & NA & NA & NA \tabularnewline
(p-val) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) & (NA ) \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2341&T=1

[TABLE]
[ROW][C]ARIMA Parameter Estimation and Backward Selection[/C][/ROW]
[ROW][C]Iteration[/C][C]ar1[/C][C]ar2[/C][C]ar3[/C][C]ma1[/C][C]sar1[/C][C]sar2[/C][C]sma1[/C][/ROW]
[ROW][C]Estimates ( 1 )[/C][C]0.2613[/C][C]-0.0329[/C][C]0.0656[/C][C]-0.9999[/C][C]-0.0548[/C][C]0.005[/C][C]-0.998[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](0.5121 )[/C][C](0.1758 )[/C][C](0 )[/C][C](0.2701 )[/C][C](0.9212 )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 2 )[/C][C]0.2609[/C][C]-0.0325[/C][C]0.0654[/C][C]-1.0001[/C][C]-0.0552[/C][C]0[/C][C]-1.0022[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](0.5161 )[/C][C](0.1768 )[/C][C](0 )[/C][C](0.2644 )[/C][C](NA )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 3 )[/C][C]0.2531[/C][C]0[/C][C]0.0576[/C][C]-1.0001[/C][C]-0.0545[/C][C]0[/C][C]-1.002[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](NA )[/C][C](0.2197 )[/C][C](0 )[/C][C](0.2703 )[/C][C](NA )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 4 )[/C][C]0.2532[/C][C]0[/C][C]0.0579[/C][C]-1.0001[/C][C]0[/C][C]0[/C][C]-1.0011[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](NA )[/C][C](0.2181 )[/C][C](0 )[/C][C](NA )[/C][C](NA )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 5 )[/C][C]0.2558[/C][C]0[/C][C]0[/C][C]-1.0001[/C][C]0[/C][C]0[/C][C]-1.0011[/C][/ROW]
[ROW][C](p-val)[/C][C](0 )[/C][C](NA )[/C][C](NA )[/C][C](0 )[/C][C](NA )[/C][C](NA )[/C][C](0 )[/C][/ROW]
[ROW][C]Estimates ( 6 )[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][C]NA[/C][/ROW]
[ROW][C](p-val)[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][C](NA )[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2341&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2341&T=1

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

ARIMA Parameter Estimation and Backward Selection
Iterationar1ar2ar3ma1sar1sar2sma1
Estimates ( 1 )0.2613-0.03290.0656-0.9999-0.05480.005-0.998
(p-val)(0 )(0.5121 )(0.1758 )(0 )(0.2701 )(0.9212 )(0 )
Estimates ( 2 )0.2609-0.03250.0654-1.0001-0.05520-1.0022
(p-val)(0 )(0.5161 )(0.1768 )(0 )(0.2644 )(NA )(0 )
Estimates ( 3 )0.253100.0576-1.0001-0.05450-1.002
(p-val)(0 )(NA )(0.2197 )(0 )(0.2703 )(NA )(0 )
Estimates ( 4 )0.253200.0579-1.000100-1.0011
(p-val)(0 )(NA )(0.2181 )(0 )(NA )(NA )(0 )
Estimates ( 5 )0.255800-1.000100-1.0011
(p-val)(0 )(NA )(NA )(0 )(NA )(NA )(0 )
Estimates ( 6 )NANANANANANANA
(p-val)(NA )(NA )(NA )(NA )(NA )(NA )(NA )






Estimated ARIMA Residuals
Value
-0.0202613273717992
0.609429216293784
0.184149710418449
-0.215982402098436
1.00286921576604
0.496985854283617
-0.155725822811658
0.241334342371078
-0.0343407619372157
0.722536724122072
0.96799809582741
-0.244658889244269
-0.0740676846440707
-0.613538494216321
0.707538667693383
0.297399040118534
-0.223954348999423
-0.10903091544991
-1.16122041671442
-0.514645876434714
0.240006062294134
0.604242175252163
0.00532773238410684
1.20006320800318
0.338831541563962
-0.404656142167548
-0.899416763519768
0.239473588707458
-0.0866033567948893
-0.494508188543869
-0.904478006766457
0.855460720877623
1.11379344204805
0.455994387713905
-0.0931852298578745
-0.210452292697972
0.251093263622786
-1.07071276595514
0.324016244854273
1.46546170212724
-1.50962669768440
-1.40001038786943
0.144229473544646
-0.436384179744853
-1.60504006338929
1.55598911463428
0.825492761162458
0.336080959989536
1.49803461365136
0.384486268357999
-0.479727230738436
-0.423404174679733
0.612521018991559
1.16372489811087
-0.821242563378644
1.00031821135587
-0.997484710742382
-0.159986852788572
-0.650538697917253
-2.05496388230086
0.159020117550260
1.24894901628919
0.839475280431232
-0.0256335363106474
3.21831375908866
-2.09575530302729
1.74909196413616
-2.86250732517749
0.480755061892642
1.79679463195211
-0.697399728265664
0.560029848506854
-1.58466178702954
0.425325789339186
0.456905632318216
-1.22705273743378
-0.516431391097857
-3.53716542417423
-0.6524740764609
0.19849468102433
-0.259098257284973
1.36350294226953
1.23629747110933
0.0486360404287747
1.13319486202002
-1.01515953248139
2.36728286316468
-1.93445472816292
-0.416799577751688
-0.00719001069899366
1.52611595276571
-0.38021353458894
-0.122533465630950
0.179092824198666
0.275651472736692
1.01039443081287
0.423875916900466
-0.863552906783536
0.481071113477274
-0.282286712026593
0.424885073091004
1.6268509197716
0.213042315001790
0.330216994034541
-0.233763421422222
-1.55912706187624
-0.0127942473564221
-0.695992502283236
0.369862776220539
-1.07142940006323
0.460552343192051
0.247712257332249
0.97980854578615
0.86198523851214
-0.522349543482878
1.42118081948129
0.0476252115539907
0.0257852103953835
0.375408669086584
-3.82158859252688
-0.14802299567791
-0.189205309823031
-0.641524003818484
0.304689467132455
-0.255113548951403
0.125260393548057
0.405302365570274
-0.370031477201364
1.28507161690879
0.443647185313728
-0.729211528380608
1.14772201123210
0.733125835668559
0.187915225893183
0.278056297731727
-1.74999501901759
0.264817474669105
1.30545912918592
0.605127847026297
1.25920219058098
-0.564965507700156
0.500937756484042
1.33442658766474
1.34091308164504
0.381585156284204
0.118594035210816
1.01197548735992
-1.44785365382338
-0.538876750999584
1.92061631942369
0.421990867174333
-0.068618385022994
0.830511556250582
-1.30896944514276
-0.396763665586434
-0.283178409918998
-0.353950506791844
1.18760464650935
-0.293099938230189
0.183942284370433
0.513929665764243
1.02908528198713
-0.65087592971205
0.568168267070084
-0.223846266583051
1.04889371633212
0.959985332208801
-0.39042860172843
-0.179944571867504
0.79094077301481
-0.920361270861026
1.07060727821748
-0.153261412434179
-0.336017779597802
0.361030455570299
-0.74629377482809
-1.01705847508740
-0.879746739941605
-0.597588816437017
1.00082977838729
0.584719931868752
0.467148372137564
0.0115021491064082
2.07726945437408
1.03070942998384
-0.199786347285416
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1.26460696084506
0.113572788804554
-0.234276856937679
0.445609065004082
1.06042968102886
-0.497068751748212
0.163599569632797
-0.670132032512722
-0.0760484984866423
-4.17876336901218
-1.24188450808952
1.62565972035992
-1.11704577517388
0.648204538869238
0.338394493410126
-1.74794211556090
0.661626837339303
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-0.0177241591940566
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-0.438833050945548
-0.61786615472301
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-0.602642121852336
-0.673366384119389
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-0.642817517129322
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-0.885660693796283
-0.0577164325938594
1.02833987651132
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-0.935554910179018
-0.809770697328079
-1.63287331216165
0.390339649522914
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\begin{tabular}{lllllllll}
\hline
Estimated ARIMA Residuals \tabularnewline
Value \tabularnewline
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0.471780190455399 \tabularnewline
-0.377456412366383 \tabularnewline
-0.919344742464494 \tabularnewline
3.14442405549484 \tabularnewline
1.44620084524896 \tabularnewline
-1.54210047885497 \tabularnewline
0.272110416984307 \tabularnewline
-1.59980237975653 \tabularnewline
-1.77823213707166 \tabularnewline
-3.76785566596880 \tabularnewline
-1.63396670792987 \tabularnewline
2.47493753398594 \tabularnewline
1.02438228300448 \tabularnewline
1.71200559174484 \tabularnewline
-0.747551065334614 \tabularnewline
0.964392179256748 \tabularnewline
3.18421880266669 \tabularnewline
-0.291300450796432 \tabularnewline
-0.738907295128211 \tabularnewline
-0.544512634388471 \tabularnewline
4.07860813326789 \tabularnewline
1.99607133136516 \tabularnewline
-1.43559878388858 \tabularnewline
-0.83467171332117 \tabularnewline
-0.163231200033584 \tabularnewline
-0.459078383304292 \tabularnewline
-1.45083731953083 \tabularnewline
2.9921260515579 \tabularnewline
1.69088689304158 \tabularnewline
-1.76284195862765 \tabularnewline
1.06020252409614 \tabularnewline
-1.01664207705635 \tabularnewline
2.01935357827724 \tabularnewline
-1.10046054562860 \tabularnewline
1.78763712096533 \tabularnewline
2.74136947167178 \tabularnewline
-0.62428285001754 \tabularnewline
-1.53984139925421 \tabularnewline
0.451671011280903 \tabularnewline
-3.74011235353554 \tabularnewline
-0.669252922309262 \tabularnewline
-0.304756657715096 \tabularnewline
1.45181437930250 \tabularnewline
2.42048282642607 \tabularnewline
1.29029750507774 \tabularnewline
1.00315371962555 \tabularnewline
-0.153762591078501 \tabularnewline
-0.927777585932742 \tabularnewline
-0.4677736909927 \tabularnewline
3.7858217800992 \tabularnewline
0.292123512193065 \tabularnewline
4.68653972587771 \tabularnewline
-1.73768986555234 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=2341&T=2

[TABLE]
[ROW][C]Estimated ARIMA Residuals[/C][/ROW]
[ROW][C]Value[/C][/ROW]
[ROW][C]-0.0202613273717992[/C][/ROW]
[ROW][C]0.609429216293784[/C][/ROW]
[ROW][C]0.184149710418449[/C][/ROW]
[ROW][C]-0.215982402098436[/C][/ROW]
[ROW][C]1.00286921576604[/C][/ROW]
[ROW][C]0.496985854283617[/C][/ROW]
[ROW][C]-0.155725822811658[/C][/ROW]
[ROW][C]0.241334342371078[/C][/ROW]
[ROW][C]-0.0343407619372157[/C][/ROW]
[ROW][C]0.722536724122072[/C][/ROW]
[ROW][C]0.96799809582741[/C][/ROW]
[ROW][C]-0.244658889244269[/C][/ROW]
[ROW][C]-0.0740676846440707[/C][/ROW]
[ROW][C]-0.613538494216321[/C][/ROW]
[ROW][C]0.707538667693383[/C][/ROW]
[ROW][C]0.297399040118534[/C][/ROW]
[ROW][C]-0.223954348999423[/C][/ROW]
[ROW][C]-0.10903091544991[/C][/ROW]
[ROW][C]-1.16122041671442[/C][/ROW]
[ROW][C]-0.514645876434714[/C][/ROW]
[ROW][C]0.240006062294134[/C][/ROW]
[ROW][C]0.604242175252163[/C][/ROW]
[ROW][C]0.00532773238410684[/C][/ROW]
[ROW][C]1.20006320800318[/C][/ROW]
[ROW][C]0.338831541563962[/C][/ROW]
[ROW][C]-0.404656142167548[/C][/ROW]
[ROW][C]-0.899416763519768[/C][/ROW]
[ROW][C]0.239473588707458[/C][/ROW]
[ROW][C]-0.0866033567948893[/C][/ROW]
[ROW][C]-0.494508188543869[/C][/ROW]
[ROW][C]-0.904478006766457[/C][/ROW]
[ROW][C]0.855460720877623[/C][/ROW]
[ROW][C]1.11379344204805[/C][/ROW]
[ROW][C]0.455994387713905[/C][/ROW]
[ROW][C]-0.0931852298578745[/C][/ROW]
[ROW][C]-0.210452292697972[/C][/ROW]
[ROW][C]0.251093263622786[/C][/ROW]
[ROW][C]-1.07071276595514[/C][/ROW]
[ROW][C]0.324016244854273[/C][/ROW]
[ROW][C]1.46546170212724[/C][/ROW]
[ROW][C]-1.50962669768440[/C][/ROW]
[ROW][C]-1.40001038786943[/C][/ROW]
[ROW][C]0.144229473544646[/C][/ROW]
[ROW][C]-0.436384179744853[/C][/ROW]
[ROW][C]-1.60504006338929[/C][/ROW]
[ROW][C]1.55598911463428[/C][/ROW]
[ROW][C]0.825492761162458[/C][/ROW]
[ROW][C]0.336080959989536[/C][/ROW]
[ROW][C]1.49803461365136[/C][/ROW]
[ROW][C]0.384486268357999[/C][/ROW]
[ROW][C]-0.479727230738436[/C][/ROW]
[ROW][C]-0.423404174679733[/C][/ROW]
[ROW][C]0.612521018991559[/C][/ROW]
[ROW][C]1.16372489811087[/C][/ROW]
[ROW][C]-0.821242563378644[/C][/ROW]
[ROW][C]1.00031821135587[/C][/ROW]
[ROW][C]-0.997484710742382[/C][/ROW]
[ROW][C]-0.159986852788572[/C][/ROW]
[ROW][C]-0.650538697917253[/C][/ROW]
[ROW][C]-2.05496388230086[/C][/ROW]
[ROW][C]0.159020117550260[/C][/ROW]
[ROW][C]1.24894901628919[/C][/ROW]
[ROW][C]0.839475280431232[/C][/ROW]
[ROW][C]-0.0256335363106474[/C][/ROW]
[ROW][C]3.21831375908866[/C][/ROW]
[ROW][C]-2.09575530302729[/C][/ROW]
[ROW][C]1.74909196413616[/C][/ROW]
[ROW][C]-2.86250732517749[/C][/ROW]
[ROW][C]0.480755061892642[/C][/ROW]
[ROW][C]1.79679463195211[/C][/ROW]
[ROW][C]-0.697399728265664[/C][/ROW]
[ROW][C]0.560029848506854[/C][/ROW]
[ROW][C]-1.58466178702954[/C][/ROW]
[ROW][C]0.425325789339186[/C][/ROW]
[ROW][C]0.456905632318216[/C][/ROW]
[ROW][C]-1.22705273743378[/C][/ROW]
[ROW][C]-0.516431391097857[/C][/ROW]
[ROW][C]-3.53716542417423[/C][/ROW]
[ROW][C]-0.6524740764609[/C][/ROW]
[ROW][C]0.19849468102433[/C][/ROW]
[ROW][C]-0.259098257284973[/C][/ROW]
[ROW][C]1.36350294226953[/C][/ROW]
[ROW][C]1.23629747110933[/C][/ROW]
[ROW][C]0.0486360404287747[/C][/ROW]
[ROW][C]1.13319486202002[/C][/ROW]
[ROW][C]-1.01515953248139[/C][/ROW]
[ROW][C]2.36728286316468[/C][/ROW]
[ROW][C]-1.93445472816292[/C][/ROW]
[ROW][C]-0.416799577751688[/C][/ROW]
[ROW][C]-0.00719001069899366[/C][/ROW]
[ROW][C]1.52611595276571[/C][/ROW]
[ROW][C]-0.38021353458894[/C][/ROW]
[ROW][C]-0.122533465630950[/C][/ROW]
[ROW][C]0.179092824198666[/C][/ROW]
[ROW][C]0.275651472736692[/C][/ROW]
[ROW][C]1.01039443081287[/C][/ROW]
[ROW][C]0.423875916900466[/C][/ROW]
[ROW][C]-0.863552906783536[/C][/ROW]
[ROW][C]0.481071113477274[/C][/ROW]
[ROW][C]-0.282286712026593[/C][/ROW]
[ROW][C]0.424885073091004[/C][/ROW]
[ROW][C]1.6268509197716[/C][/ROW]
[ROW][C]0.213042315001790[/C][/ROW]
[ROW][C]0.330216994034541[/C][/ROW]
[ROW][C]-0.233763421422222[/C][/ROW]
[ROW][C]-1.55912706187624[/C][/ROW]
[ROW][C]-0.0127942473564221[/C][/ROW]
[ROW][C]-0.695992502283236[/C][/ROW]
[ROW][C]0.369862776220539[/C][/ROW]
[ROW][C]-1.07142940006323[/C][/ROW]
[ROW][C]0.460552343192051[/C][/ROW]
[ROW][C]0.247712257332249[/C][/ROW]
[ROW][C]0.97980854578615[/C][/ROW]
[ROW][C]0.86198523851214[/C][/ROW]
[ROW][C]-0.522349543482878[/C][/ROW]
[ROW][C]1.42118081948129[/C][/ROW]
[ROW][C]0.0476252115539907[/C][/ROW]
[ROW][C]0.0257852103953835[/C][/ROW]
[ROW][C]0.375408669086584[/C][/ROW]
[ROW][C]-3.82158859252688[/C][/ROW]
[ROW][C]-0.14802299567791[/C][/ROW]
[ROW][C]-0.189205309823031[/C][/ROW]
[ROW][C]-0.641524003818484[/C][/ROW]
[ROW][C]0.304689467132455[/C][/ROW]
[ROW][C]-0.255113548951403[/C][/ROW]
[ROW][C]0.125260393548057[/C][/ROW]
[ROW][C]0.405302365570274[/C][/ROW]
[ROW][C]-0.370031477201364[/C][/ROW]
[ROW][C]1.28507161690879[/C][/ROW]
[ROW][C]0.443647185313728[/C][/ROW]
[ROW][C]-0.729211528380608[/C][/ROW]
[ROW][C]1.14772201123210[/C][/ROW]
[ROW][C]0.733125835668559[/C][/ROW]
[ROW][C]0.187915225893183[/C][/ROW]
[ROW][C]0.278056297731727[/C][/ROW]
[ROW][C]-1.74999501901759[/C][/ROW]
[ROW][C]0.264817474669105[/C][/ROW]
[ROW][C]1.30545912918592[/C][/ROW]
[ROW][C]0.605127847026297[/C][/ROW]
[ROW][C]1.25920219058098[/C][/ROW]
[ROW][C]-0.564965507700156[/C][/ROW]
[ROW][C]0.500937756484042[/C][/ROW]
[ROW][C]1.33442658766474[/C][/ROW]
[ROW][C]1.34091308164504[/C][/ROW]
[ROW][C]0.381585156284204[/C][/ROW]
[ROW][C]0.118594035210816[/C][/ROW]
[ROW][C]1.01197548735992[/C][/ROW]
[ROW][C]-1.44785365382338[/C][/ROW]
[ROW][C]-0.538876750999584[/C][/ROW]
[ROW][C]1.92061631942369[/C][/ROW]
[ROW][C]0.421990867174333[/C][/ROW]
[ROW][C]-0.068618385022994[/C][/ROW]
[ROW][C]0.830511556250582[/C][/ROW]
[ROW][C]-1.30896944514276[/C][/ROW]
[ROW][C]-0.396763665586434[/C][/ROW]
[ROW][C]-0.283178409918998[/C][/ROW]
[ROW][C]-0.353950506791844[/C][/ROW]
[ROW][C]1.18760464650935[/C][/ROW]
[ROW][C]-0.293099938230189[/C][/ROW]
[ROW][C]0.183942284370433[/C][/ROW]
[ROW][C]0.513929665764243[/C][/ROW]
[ROW][C]1.02908528198713[/C][/ROW]
[ROW][C]-0.65087592971205[/C][/ROW]
[ROW][C]0.568168267070084[/C][/ROW]
[ROW][C]-0.223846266583051[/C][/ROW]
[ROW][C]1.04889371633212[/C][/ROW]
[ROW][C]0.959985332208801[/C][/ROW]
[ROW][C]-0.39042860172843[/C][/ROW]
[ROW][C]-0.179944571867504[/C][/ROW]
[ROW][C]0.79094077301481[/C][/ROW]
[ROW][C]-0.920361270861026[/C][/ROW]
[ROW][C]1.07060727821748[/C][/ROW]
[ROW][C]-0.153261412434179[/C][/ROW]
[ROW][C]-0.336017779597802[/C][/ROW]
[ROW][C]0.361030455570299[/C][/ROW]
[ROW][C]-0.74629377482809[/C][/ROW]
[ROW][C]-1.01705847508740[/C][/ROW]
[ROW][C]-0.879746739941605[/C][/ROW]
[ROW][C]-0.597588816437017[/C][/ROW]
[ROW][C]1.00082977838729[/C][/ROW]
[ROW][C]0.584719931868752[/C][/ROW]
[ROW][C]0.467148372137564[/C][/ROW]
[ROW][C]0.0115021491064082[/C][/ROW]
[ROW][C]2.07726945437408[/C][/ROW]
[ROW][C]1.03070942998384[/C][/ROW]
[ROW][C]-0.199786347285416[/C][/ROW]
[ROW][C]-0.175554505485537[/C][/ROW]
[ROW][C]1.26460696084506[/C][/ROW]
[ROW][C]0.113572788804554[/C][/ROW]
[ROW][C]-0.234276856937679[/C][/ROW]
[ROW][C]0.445609065004082[/C][/ROW]
[ROW][C]1.06042968102886[/C][/ROW]
[ROW][C]-0.497068751748212[/C][/ROW]
[ROW][C]0.163599569632797[/C][/ROW]
[ROW][C]-0.670132032512722[/C][/ROW]
[ROW][C]-0.0760484984866423[/C][/ROW]
[ROW][C]-4.17876336901218[/C][/ROW]
[ROW][C]-1.24188450808952[/C][/ROW]
[ROW][C]1.62565972035992[/C][/ROW]
[ROW][C]-1.11704577517388[/C][/ROW]
[ROW][C]0.648204538869238[/C][/ROW]
[ROW][C]0.338394493410126[/C][/ROW]
[ROW][C]-1.74794211556090[/C][/ROW]
[ROW][C]0.661626837339303[/C][/ROW]
[ROW][C]1.40231190530573[/C][/ROW]
[ROW][C]-0.0177241591940566[/C][/ROW]
[ROW][C]-0.36347678311706[/C][/ROW]
[ROW][C]0.787227702545892[/C][/ROW]
[ROW][C]0.582989000316661[/C][/ROW]
[ROW][C]-0.665711017473722[/C][/ROW]
[ROW][C]0.772734294442672[/C][/ROW]
[ROW][C]1.42761015274267[/C][/ROW]
[ROW][C]0.131576827505613[/C][/ROW]
[ROW][C]0.663015640104977[/C][/ROW]
[ROW][C]-0.711236611411985[/C][/ROW]
[ROW][C]-0.047781299047605[/C][/ROW]
[ROW][C]1.31578341079558[/C][/ROW]
[ROW][C]-0.589929370856833[/C][/ROW]
[ROW][C]-0.989316936285216[/C][/ROW]
[ROW][C]0.718073322424304[/C][/ROW]
[ROW][C]-0.924395412020465[/C][/ROW]
[ROW][C]-0.438833050945548[/C][/ROW]
[ROW][C]-0.61786615472301[/C][/ROW]
[ROW][C]0.658519114852589[/C][/ROW]
[ROW][C]1.56228892148043[/C][/ROW]
[ROW][C]1.01160001377695[/C][/ROW]
[ROW][C]1.50746907641053[/C][/ROW]
[ROW][C]-2.26177253989537[/C][/ROW]
[ROW][C]-0.602642121852336[/C][/ROW]
[ROW][C]-0.673366384119389[/C][/ROW]
[ROW][C]1.06735874990246[/C][/ROW]
[ROW][C]0.402604899578133[/C][/ROW]
[ROW][C]-0.642817517129322[/C][/ROW]
[ROW][C]0.316142739621111[/C][/ROW]
[ROW][C]0.975589783336395[/C][/ROW]
[ROW][C]0.960770911003795[/C][/ROW]
[ROW][C]-0.885660693796283[/C][/ROW]
[ROW][C]-0.0577164325938594[/C][/ROW]
[ROW][C]1.02833987651132[/C][/ROW]
[ROW][C]0.558894483637089[/C][/ROW]
[ROW][C]-0.935554910179018[/C][/ROW]
[ROW][C]-0.809770697328079[/C][/ROW]
[ROW][C]-1.63287331216165[/C][/ROW]
[ROW][C]0.390339649522914[/C][/ROW]
[ROW][C]1.74849473528003[/C][/ROW]
[ROW][C]0.527066040431817[/C][/ROW]
[ROW][C]1.24789270403522[/C][/ROW]
[ROW][C]0.289133919936134[/C][/ROW]
[ROW][C]0.163563846706897[/C][/ROW]
[ROW][C]-0.229475283213367[/C][/ROW]
[ROW][C]-1.22200846837901[/C][/ROW]
[ROW][C]0.401762251198071[/C][/ROW]
[ROW][C]0.859791250750243[/C][/ROW]
[ROW][C]-0.317257868363834[/C][/ROW]
[ROW][C]0.113350455114756[/C][/ROW]
[ROW][C]1.51372957573991[/C][/ROW]
[ROW][C]1.05764191894360[/C][/ROW]
[ROW][C]0.936030799089493[/C][/ROW]
[ROW][C]-1.07297725509515[/C][/ROW]
[ROW][C]0.202638208394301[/C][/ROW]
[ROW][C]-2.04346831768231[/C][/ROW]
[ROW][C]0.279645306302556[/C][/ROW]
[ROW][C]0.279638757051531[/C][/ROW]
[ROW][C]-0.969299513831792[/C][/ROW]
[ROW][C]2.22923279811612[/C][/ROW]
[ROW][C]-0.162989923619475[/C][/ROW]
[ROW][C]0.269474749927520[/C][/ROW]
[ROW][C]0.371123251549496[/C][/ROW]
[ROW][C]0.979669955540755[/C][/ROW]
[ROW][C]0.877593268469189[/C][/ROW]
[ROW][C]1.56697614911955[/C][/ROW]
[ROW][C]-1.08827136683111[/C][/ROW]
[ROW][C]-1.85369105831817[/C][/ROW]
[ROW][C]0.227206615572013[/C][/ROW]
[ROW][C]0.292817204000064[/C][/ROW]
[ROW][C]2.05184499893116[/C][/ROW]
[ROW][C]0.332914314233887[/C][/ROW]
[ROW][C]0.417743110968025[/C][/ROW]
[ROW][C]0.996379526025543[/C][/ROW]
[ROW][C]-0.696372410534845[/C][/ROW]
[ROW][C]0.686136491279283[/C][/ROW]
[ROW][C]-3.70952097741568[/C][/ROW]
[ROW][C]-1.38444203677972[/C][/ROW]
[ROW][C]-1.60557133956189[/C][/ROW]
[ROW][C]2.96035312468328[/C][/ROW]
[ROW][C]-1.52212906482277[/C][/ROW]
[ROW][C]-3.93042298621952[/C][/ROW]
[ROW][C]1.91088499981287[/C][/ROW]
[ROW][C]1.86300845929133[/C][/ROW]
[ROW][C]-3.51082494460539[/C][/ROW]
[ROW][C]2.17707213439457[/C][/ROW]
[ROW][C]2.27303561230958[/C][/ROW]
[ROW][C]0.91519733730988[/C][/ROW]
[ROW][C]2.05217935909451[/C][/ROW]
[ROW][C]-2.05672991550059[/C][/ROW]
[ROW][C]-0.312032775285252[/C][/ROW]
[ROW][C]1.83660102241625[/C][/ROW]
[ROW][C]2.11514251788578[/C][/ROW]
[ROW][C]0.631988108389596[/C][/ROW]
[ROW][C]1.42315868881078[/C][/ROW]
[ROW][C]0.176857655998669[/C][/ROW]
[ROW][C]0.32418504443769[/C][/ROW]
[ROW][C]-2.42163220953764[/C][/ROW]
[ROW][C]2.84166271082983[/C][/ROW]
[ROW][C]-4.39015733173108[/C][/ROW]
[ROW][C]1.01967847461698[/C][/ROW]
[ROW][C]1.54606321816385[/C][/ROW]
[ROW][C]-2.57088050649969[/C][/ROW]
[ROW][C]0.407978907654234[/C][/ROW]
[ROW][C]-2.29580177444333[/C][/ROW]
[ROW][C]1.53211822671427[/C][/ROW]
[ROW][C]2.53445387287122[/C][/ROW]
[ROW][C]0.505481653754654[/C][/ROW]
[ROW][C]0.462699139255241[/C][/ROW]
[ROW][C]1.92489188991042[/C][/ROW]
[ROW][C]-0.809190168191395[/C][/ROW]
[ROW][C]0.83666725544351[/C][/ROW]
[ROW][C]-0.050172544229488[/C][/ROW]
[ROW][C]-1.95090994737483[/C][/ROW]
[ROW][C]1.79011578705909[/C][/ROW]
[ROW][C]1.42840200787247[/C][/ROW]
[ROW][C]1.97953275063358[/C][/ROW]
[ROW][C]0.817781319027241[/C][/ROW]
[ROW][C]-0.603034150765268[/C][/ROW]
[ROW][C]1.46516036307311[/C][/ROW]
[ROW][C]-3.00802623580067[/C][/ROW]
[ROW][C]-2.15145421131393[/C][/ROW]
[ROW][C]1.49298365381600[/C][/ROW]
[ROW][C]-0.894946217410589[/C][/ROW]
[ROW][C]-1.92912865137541[/C][/ROW]
[ROW][C]-1.15023651578561[/C][/ROW]
[ROW][C]0.27130709745617[/C][/ROW]
[ROW][C]-0.529150316770128[/C][/ROW]
[ROW][C]0.218217646554652[/C][/ROW]
[ROW][C]-0.861414201209524[/C][/ROW]
[ROW][C]-2.54446489583592[/C][/ROW]
[ROW][C]0.0227078826314543[/C][/ROW]
[ROW][C]-0.00829694832286965[/C][/ROW]
[ROW][C]2.29634058540029[/C][/ROW]
[ROW][C]0.703591208317484[/C][/ROW]
[ROW][C]-2.31430730429914[/C][/ROW]
[ROW][C]0.254429482872771[/C][/ROW]
[ROW][C]3.95770591365976[/C][/ROW]
[ROW][C]1.15375977296772[/C][/ROW]
[ROW][C]0.779302823212924[/C][/ROW]
[ROW][C]0.710925904830384[/C][/ROW]
[ROW][C]-0.716668258784399[/C][/ROW]
[ROW][C]-2.67279996148614[/C][/ROW]
[ROW][C]-2.59682937591121[/C][/ROW]
[ROW][C]0.557590891045157[/C][/ROW]
[ROW][C]1.30695761648284[/C][/ROW]
[ROW][C]-0.714924030874979[/C][/ROW]
[ROW][C]0.48677617328747[/C][/ROW]
[ROW][C]0.2453725862493[/C][/ROW]
[ROW][C]1.86835104478077[/C][/ROW]
[ROW][C]1.99731113011771[/C][/ROW]
[ROW][C]0.631476886006251[/C][/ROW]
[ROW][C]2.48442981214172[/C][/ROW]
[ROW][C]-0.351878500744968[/C][/ROW]
[ROW][C]-0.547479985028168[/C][/ROW]
[ROW][C]-2.27853049672337[/C][/ROW]
[ROW][C]-1.152513276321[/C][/ROW]
[ROW][C]-0.77369257062124[/C][/ROW]
[ROW][C]0.734644492228703[/C][/ROW]
[ROW][C]-0.218330326251928[/C][/ROW]
[ROW][C]-1.11959813708520[/C][/ROW]
[ROW][C]-0.159788044294123[/C][/ROW]
[ROW][C]2.9790394070978[/C][/ROW]
[ROW][C]1.67614878642934[/C][/ROW]
[ROW][C]-0.209683197893029[/C][/ROW]
[ROW][C]0.792871593872376[/C][/ROW]
[ROW][C]-2.1894196379097[/C][/ROW]
[ROW][C]1.27452914211735[/C][/ROW]
[ROW][C]1.29097644868367[/C][/ROW]
[ROW][C]-4.37605599206576[/C][/ROW]
[ROW][C]-0.880003097978123[/C][/ROW]
[ROW][C]-1.13622584570319[/C][/ROW]
[ROW][C]-1.57349105580273[/C][/ROW]
[ROW][C]-2.98164547232287[/C][/ROW]
[ROW][C]-1.01166030259435[/C][/ROW]
[ROW][C]-1.05060171468944[/C][/ROW]
[ROW][C]-0.0305747726308339[/C][/ROW]
[ROW][C]-0.201715179432012[/C][/ROW]
[ROW][C]0.535060594381198[/C][/ROW]
[ROW][C]-0.777147943634952[/C][/ROW]
[ROW][C]-0.416496897486158[/C][/ROW]
[ROW][C]0.471780190455399[/C][/ROW]
[ROW][C]-0.377456412366383[/C][/ROW]
[ROW][C]-0.919344742464494[/C][/ROW]
[ROW][C]3.14442405549484[/C][/ROW]
[ROW][C]1.44620084524896[/C][/ROW]
[ROW][C]-1.54210047885497[/C][/ROW]
[ROW][C]0.272110416984307[/C][/ROW]
[ROW][C]-1.59980237975653[/C][/ROW]
[ROW][C]-1.77823213707166[/C][/ROW]
[ROW][C]-3.76785566596880[/C][/ROW]
[ROW][C]-1.63396670792987[/C][/ROW]
[ROW][C]2.47493753398594[/C][/ROW]
[ROW][C]1.02438228300448[/C][/ROW]
[ROW][C]1.71200559174484[/C][/ROW]
[ROW][C]-0.747551065334614[/C][/ROW]
[ROW][C]0.964392179256748[/C][/ROW]
[ROW][C]3.18421880266669[/C][/ROW]
[ROW][C]-0.291300450796432[/C][/ROW]
[ROW][C]-0.738907295128211[/C][/ROW]
[ROW][C]-0.544512634388471[/C][/ROW]
[ROW][C]4.07860813326789[/C][/ROW]
[ROW][C]1.99607133136516[/C][/ROW]
[ROW][C]-1.43559878388858[/C][/ROW]
[ROW][C]-0.83467171332117[/C][/ROW]
[ROW][C]-0.163231200033584[/C][/ROW]
[ROW][C]-0.459078383304292[/C][/ROW]
[ROW][C]-1.45083731953083[/C][/ROW]
[ROW][C]2.9921260515579[/C][/ROW]
[ROW][C]1.69088689304158[/C][/ROW]
[ROW][C]-1.76284195862765[/C][/ROW]
[ROW][C]1.06020252409614[/C][/ROW]
[ROW][C]-1.01664207705635[/C][/ROW]
[ROW][C]2.01935357827724[/C][/ROW]
[ROW][C]-1.10046054562860[/C][/ROW]
[ROW][C]1.78763712096533[/C][/ROW]
[ROW][C]2.74136947167178[/C][/ROW]
[ROW][C]-0.62428285001754[/C][/ROW]
[ROW][C]-1.53984139925421[/C][/ROW]
[ROW][C]0.451671011280903[/C][/ROW]
[ROW][C]-3.74011235353554[/C][/ROW]
[ROW][C]-0.669252922309262[/C][/ROW]
[ROW][C]-0.304756657715096[/C][/ROW]
[ROW][C]1.45181437930250[/C][/ROW]
[ROW][C]2.42048282642607[/C][/ROW]
[ROW][C]1.29029750507774[/C][/ROW]
[ROW][C]1.00315371962555[/C][/ROW]
[ROW][C]-0.153762591078501[/C][/ROW]
[ROW][C]-0.927777585932742[/C][/ROW]
[ROW][C]-0.4677736909927[/C][/ROW]
[ROW][C]3.7858217800992[/C][/ROW]
[ROW][C]0.292123512193065[/C][/ROW]
[ROW][C]4.68653972587771[/C][/ROW]
[ROW][C]-1.73768986555234[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=2341&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=2341&T=2

As an alternative you can also use a QR Code:  
QR Code


The GUIDs for individual cells are displayed in the table below:

Estimated ARIMA Residuals
Value
-0.0202613273717992
0.609429216293784
0.184149710418449
-0.215982402098436
1.00286921576604
0.496985854283617
-0.155725822811658
0.241334342371078
-0.0343407619372157
0.722536724122072
0.96799809582741
-0.244658889244269
-0.0740676846440707
-0.613538494216321
0.707538667693383
0.297399040118534
-0.223954348999423
-0.10903091544991
-1.16122041671442
-0.514645876434714
0.240006062294134
0.604242175252163
0.00532773238410684
1.20006320800318
0.338831541563962
-0.404656142167548
-0.899416763519768
0.239473588707458
-0.0866033567948893
-0.494508188543869
-0.904478006766457
0.855460720877623
1.11379344204805
0.455994387713905
-0.0931852298578745
-0.210452292697972
0.251093263622786
-1.07071276595514
0.324016244854273
1.46546170212724
-1.50962669768440
-1.40001038786943
0.144229473544646
-0.436384179744853
-1.60504006338929
1.55598911463428
0.825492761162458
0.336080959989536
1.49803461365136
0.384486268357999
-0.479727230738436
-0.423404174679733
0.612521018991559
1.16372489811087
-0.821242563378644
1.00031821135587
-0.997484710742382
-0.159986852788572
-0.650538697917253
-2.05496388230086
0.159020117550260
1.24894901628919
0.839475280431232
-0.0256335363106474
3.21831375908866
-2.09575530302729
1.74909196413616
-2.86250732517749
0.480755061892642
1.79679463195211
-0.697399728265664
0.560029848506854
-1.58466178702954
0.425325789339186
0.456905632318216
-1.22705273743378
-0.516431391097857
-3.53716542417423
-0.6524740764609
0.19849468102433
-0.259098257284973
1.36350294226953
1.23629747110933
0.0486360404287747
1.13319486202002
-1.01515953248139
2.36728286316468
-1.93445472816292
-0.416799577751688
-0.00719001069899366
1.52611595276571
-0.38021353458894
-0.122533465630950
0.179092824198666
0.275651472736692
1.01039443081287
0.423875916900466
-0.863552906783536
0.481071113477274
-0.282286712026593
0.424885073091004
1.6268509197716
0.213042315001790
0.330216994034541
-0.233763421422222
-1.55912706187624
-0.0127942473564221
-0.695992502283236
0.369862776220539
-1.07142940006323
0.460552343192051
0.247712257332249
0.97980854578615
0.86198523851214
-0.522349543482878
1.42118081948129
0.0476252115539907
0.0257852103953835
0.375408669086584
-3.82158859252688
-0.14802299567791
-0.189205309823031
-0.641524003818484
0.304689467132455
-0.255113548951403
0.125260393548057
0.405302365570274
-0.370031477201364
1.28507161690879
0.443647185313728
-0.729211528380608
1.14772201123210
0.733125835668559
0.187915225893183
0.278056297731727
-1.74999501901759
0.264817474669105
1.30545912918592
0.605127847026297
1.25920219058098
-0.564965507700156
0.500937756484042
1.33442658766474
1.34091308164504
0.381585156284204
0.118594035210816
1.01197548735992
-1.44785365382338
-0.538876750999584
1.92061631942369
0.421990867174333
-0.068618385022994
0.830511556250582
-1.30896944514276
-0.396763665586434
-0.283178409918998
-0.353950506791844
1.18760464650935
-0.293099938230189
0.183942284370433
0.513929665764243
1.02908528198713
-0.65087592971205
0.568168267070084
-0.223846266583051
1.04889371633212
0.959985332208801
-0.39042860172843
-0.179944571867504
0.79094077301481
-0.920361270861026
1.07060727821748
-0.153261412434179
-0.336017779597802
0.361030455570299
-0.74629377482809
-1.01705847508740
-0.879746739941605
-0.597588816437017
1.00082977838729
0.584719931868752
0.467148372137564
0.0115021491064082
2.07726945437408
1.03070942998384
-0.199786347285416
-0.175554505485537
1.26460696084506
0.113572788804554
-0.234276856937679
0.445609065004082
1.06042968102886
-0.497068751748212
0.163599569632797
-0.670132032512722
-0.0760484984866423
-4.17876336901218
-1.24188450808952
1.62565972035992
-1.11704577517388
0.648204538869238
0.338394493410126
-1.74794211556090
0.661626837339303
1.40231190530573
-0.0177241591940566
-0.36347678311706
0.787227702545892
0.582989000316661
-0.665711017473722
0.772734294442672
1.42761015274267
0.131576827505613
0.663015640104977
-0.711236611411985
-0.047781299047605
1.31578341079558
-0.589929370856833
-0.989316936285216
0.718073322424304
-0.924395412020465
-0.438833050945548
-0.61786615472301
0.658519114852589
1.56228892148043
1.01160001377695
1.50746907641053
-2.26177253989537
-0.602642121852336
-0.673366384119389
1.06735874990246
0.402604899578133
-0.642817517129322
0.316142739621111
0.975589783336395
0.960770911003795
-0.885660693796283
-0.0577164325938594
1.02833987651132
0.558894483637089
-0.935554910179018
-0.809770697328079
-1.63287331216165
0.390339649522914
1.74849473528003
0.527066040431817
1.24789270403522
0.289133919936134
0.163563846706897
-0.229475283213367
-1.22200846837901
0.401762251198071
0.859791250750243
-0.317257868363834
0.113350455114756
1.51372957573991
1.05764191894360
0.936030799089493
-1.07297725509515
0.202638208394301
-2.04346831768231
0.279645306302556
0.279638757051531
-0.969299513831792
2.22923279811612
-0.162989923619475
0.269474749927520
0.371123251549496
0.979669955540755
0.877593268469189
1.56697614911955
-1.08827136683111
-1.85369105831817
0.227206615572013
0.292817204000064
2.05184499893116
0.332914314233887
0.417743110968025
0.996379526025543
-0.696372410534845
0.686136491279283
-3.70952097741568
-1.38444203677972
-1.60557133956189
2.96035312468328
-1.52212906482277
-3.93042298621952
1.91088499981287
1.86300845929133
-3.51082494460539
2.17707213439457
2.27303561230958
0.91519733730988
2.05217935909451
-2.05672991550059
-0.312032775285252
1.83660102241625
2.11514251788578
0.631988108389596
1.42315868881078
0.176857655998669
0.32418504443769
-2.42163220953764
2.84166271082983
-4.39015733173108
1.01967847461698
1.54606321816385
-2.57088050649969
0.407978907654234
-2.29580177444333
1.53211822671427
2.53445387287122
0.505481653754654
0.462699139255241
1.92489188991042
-0.809190168191395
0.83666725544351
-0.050172544229488
-1.95090994737483
1.79011578705909
1.42840200787247
1.97953275063358
0.817781319027241
-0.603034150765268
1.46516036307311
-3.00802623580067
-2.15145421131393
1.49298365381600
-0.894946217410589
-1.92912865137541
-1.15023651578561
0.27130709745617
-0.529150316770128
0.218217646554652
-0.861414201209524
-2.54446489583592
0.0227078826314543
-0.00829694832286965
2.29634058540029
0.703591208317484
-2.31430730429914
0.254429482872771
3.95770591365976
1.15375977296772
0.779302823212924
0.710925904830384
-0.716668258784399
-2.67279996148614
-2.59682937591121
0.557590891045157
1.30695761648284
-0.714924030874979
0.48677617328747
0.2453725862493
1.86835104478077
1.99731113011771
0.631476886006251
2.48442981214172
-0.351878500744968
-0.547479985028168
-2.27853049672337
-1.152513276321
-0.77369257062124
0.734644492228703
-0.218330326251928
-1.11959813708520
-0.159788044294123
2.9790394070978
1.67614878642934
-0.209683197893029
0.792871593872376
-2.1894196379097
1.27452914211735
1.29097644868367
-4.37605599206576
-0.880003097978123
-1.13622584570319
-1.57349105580273
-2.98164547232287
-1.01166030259435
-1.05060171468944
-0.0305747726308339
-0.201715179432012
0.535060594381198
-0.777147943634952
-0.416496897486158
0.471780190455399
-0.377456412366383
-0.919344742464494
3.14442405549484
1.44620084524896
-1.54210047885497
0.272110416984307
-1.59980237975653
-1.77823213707166
-3.76785566596880
-1.63396670792987
2.47493753398594
1.02438228300448
1.71200559174484
-0.747551065334614
0.964392179256748
3.18421880266669
-0.291300450796432
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-0.544512634388471
4.07860813326789
1.99607133136516
-1.43559878388858
-0.83467171332117
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-0.459078383304292
-1.45083731953083
2.9921260515579
1.69088689304158
-1.76284195862765
1.06020252409614
-1.01664207705635
2.01935357827724
-1.10046054562860
1.78763712096533
2.74136947167178
-0.62428285001754
-1.53984139925421
0.451671011280903
-3.74011235353554
-0.669252922309262
-0.304756657715096
1.45181437930250
2.42048282642607
1.29029750507774
1.00315371962555
-0.153762591078501
-0.927777585932742
-0.4677736909927
3.7858217800992
0.292123512193065
4.68653972587771
-1.73768986555234


Figures (Output of Computation)

Input Parameters & R Code

Parameters (Session):
par1 = FALSE ; par2 = 1 ; par3 = 2 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;
Parameters (R input):
par1 = FALSE ; par2 = 1 ; par3 = 2 ; par4 = 1 ; par5 = 12 ; par6 = 3 ; par7 = 1 ; par8 = 2 ; par9 = 1 ;
R code (references can be found in the software module):
library(lattice)
if (par1 == 'TRUE') par1 <- TRUE
if (par1 == 'FALSE') par1 <- FALSE
par2 <- as.numeric(par2) #Box-Cox lambda transformation parameter
par3 <- as.numeric(par3) #degree of non-seasonal differencing
par4 <- as.numeric(par4) #degree of seasonal differencing
par5 <- as.numeric(par5) #seasonal period
par6 <- as.numeric(par6) #degree (p) of the non-seasonal AR(p) polynomial
par7 <- as.numeric(par7) #degree (q) of the non-seasonal MA(q) polynomial
par8 <- as.numeric(par8) #degree (P) of the seasonal AR(P) polynomial
par9 <- as.numeric(par9) #degree (Q) of the seasonal MA(Q) polynomial
armaGR <- function(arima.out, names, n){
try1 <- arima.out$coef
try2 <- sqrt(diag(arima.out$var.coef))
try.data.frame  <- data.frame(matrix(NA,ncol=4,nrow=length(names)))
dimnames(try.data.frame) <- list(names,c('coef','std','tstat','pv'))
try.data.frame[,1] <- try1
for(i in 1:length(try2)) try.data.frame[which(rownames(try.data.frame)==names(try2)[i]),2] <- try2[i]
try.data.frame[,3] <- try.data.frame[,1] / try.data.frame[,2]
try.data.frame[,4] <- round((1-pt(abs(try.data.frame[,3]),df=n-(length(try2)+1)))*2,5)
vector <- rep(NA,length(names))
vector[is.na(try.data.frame[,4])] <- 0
maxi <- which.max(try.data.frame[,4])
continue <- max(try.data.frame[,4],na.rm=TRUE) > .05
vector[maxi] <- 0
list(summary=try.data.frame,next.vector=vector,continue=continue)
}
arimaSelect <- function(series, order=c(13,0,0), seasonal=list(order=c(2,0,0),period=12), include.mean=F){
nrc <- order[1]+order[3]+seasonal$order[1]+seasonal$order[3]
coeff <- matrix(NA, nrow=nrc, ncol=nrc)
pval <- matrix(NA, nrow=nrc, ncol=nrc)
mylist <- rep(list(NULL), nrc)
names  <- NULL
if(order[1] > 0) names <- paste('ar',1:order[1],sep='')
if(order[3] > 0) names <- c( names , paste('ma',1:order[3],sep='') )
if(seasonal$order[1] > 0) names <- c(names, paste('sar',1:seasonal$order[1],sep=''))
if(seasonal$order[3] > 0) names <- c(names, paste('sma',1:seasonal$order[3],sep=''))
arima.out <- arima(series, order=order, seasonal=seasonal, include.mean=include.mean, method='ML')
mylist[[1]] <- arima.out
last.arma <- armaGR(arima.out, names, length(series))
mystop <- FALSE
i <- 1
coeff[i,] <- last.arma[[1]][,1]
pval [i,] <- last.arma[[1]][,4]
i <- 2
aic <- arima.out$aic
while(!mystop){
mylist[[i]] <- arima.out
arima.out <- arima(series, order=order, seasonal=seasonal, include.mean=include.mean, method='ML', fixed=last.arma$next.vector)
aic <- c(aic, arima.out$aic)
last.arma <- armaGR(arima.out, names, length(series))
mystop <- !last.arma$continue
coeff[i,] <- last.arma[[1]][,1]
pval [i,] <- last.arma[[1]][,4]
i <- i+1
}
list(coeff, pval, mylist, aic=aic)
}
arimaSelectplot <- function(arimaSelect.out,noms,choix){
noms <- names(arimaSelect.out[[3]][[1]]$coef)
coeff <- arimaSelect.out[[1]]
k <- min(which(is.na(coeff[,1])))-1
coeff <- coeff[1:k,]
pval  <- arimaSelect.out[[2]][1:k,]
aic   <- arimaSelect.out$aic[1:k]
coeff[coeff==0] <- NA
n <- ncol(coeff)
if(missing(choix)) choix <- k
layout(matrix(c(1,1,1,2,
3,3,3,2,
3,3,3,4,
5,6,7,7),nr=4),
widths=c(10,35,45,15),
heights=c(30,30,15,15))
couleurs <- rainbow(75)[1:50]#(50)
ticks <- pretty(coeff)
par(mar=c(1,1,3,1))
plot(aic,k:1-.5,type='o',pch=21,bg='blue',cex=2,axes=F,lty=2,xpd=NA)
points(aic[choix],k-choix+.5,pch=21,cex=4,bg=2,xpd=NA)
title('aic',line=2)
par(mar=c(3,0,0,0))
plot(0,axes=F,xlab='',ylab='',xlim=range(ticks),ylim=c(.1,1))
rect(xleft  = min(ticks) + (0:49)/50*(max(ticks)-min(ticks)),
xright = min(ticks) + (1:50)/50*(max(ticks)-min(ticks)),
ytop   = rep(1,50),
ybottom= rep(0,50),col=couleurs,border=NA)
axis(1,ticks)
rect(xleft=min(ticks),xright=max(ticks),ytop=1,ybottom=0)
text(mean(coeff,na.rm=T),.5,'coefficients',cex=2,font=2)
par(mar=c(1,1,3,1))
image(1:n,1:k,t(coeff[k:1,]),axes=F,col=couleurs,zlim=range(ticks))
for(i in 1:n) for(j in 1:k) if(!is.na(coeff[j,i])) {
if(pval[j,i]<.01)                            symb = 'green'
else if( (pval[j,i]<.05) & (pval[j,i]>=.01)) symb = 'orange'
else if( (pval[j,i]<.1)  & (pval[j,i]>=.05)) symb = 'red'
else                                         symb = 'black'
polygon(c(i+.5   ,i+.2   ,i+.5   ,i+.5),
c(k-j+0.5,k-j+0.5,k-j+0.8,k-j+0.5),
col=symb)
if(j==choix)  {
rect(xleft=i-.5,
xright=i+.5,
ybottom=k-j+1.5,
ytop=k-j+.5,
lwd=4)
text(i,
k-j+1,
round(coeff[j,i],2),
cex=1.2,
font=2)
}
else{
rect(xleft=i-.5,xright=i+.5,ybottom=k-j+1.5,ytop=k-j+.5)
text(i,k-j+1,round(coeff[j,i],2),cex=1.2,font=1)
}
}
axis(3,1:n,noms)
par(mar=c(0.5,0,0,0.5))
plot(0,axes=F,xlab='',ylab='',type='n',xlim=c(0,8),ylim=c(-.2,.8))
cols <- c('green','orange','red','black')
niv  <- c('0','0.01','0.05','0.1')
for(i in 0:3){
polygon(c(1+2*i   ,1+2*i   ,1+2*i-.5   ,1+2*i),
c(.4      ,.7      , .4        , .4),
col=cols[i+1])
text(2*i,0.5,niv[i+1],cex=1.5)
}
text(8,.5,1,cex=1.5)
text(4,0,'p-value',cex=2)
box()
residus <- arimaSelect.out[[3]][[choix]]$res
par(mar=c(1,2,4,1))
acf(residus,main='')
title('acf',line=.5)
par(mar=c(1,2,4,1))
pacf(residus,main='')
title('pacf',line=.5)
par(mar=c(2,2,4,1))
qqnorm(residus,main='')
title('qq-norm',line=.5)
residus
}
if (par2 == 0) x <- log(x)
if (par2 != 0) x <- x^par2
(selection <- arimaSelect(x, order=c(par6,par3,par7), seasonal=list(order=c(par8,par4,par9), period=par5)))
bitmap(file='test1.png')
resid <- arimaSelectplot(selection)
dev.off()
resid
bitmap(file='test2.png')
acf(resid,length(resid)/2, main='Residual Autocorrelation Function')
dev.off()
bitmap(file='test3.png')
pacf(resid,length(resid)/2, main='Residual Partial Autocorrelation Function')
dev.off()
bitmap(file='test4.png')
cpgram(resid, main='Residual Cumulative Periodogram')
dev.off()
bitmap(file='test5.png')
hist(resid, main='Residual Histogram', xlab='values of Residuals')
dev.off()
bitmap(file='test6.png')
densityplot(~resid,col='black',main='Residual Density Plot', xlab='values of Residuals')
dev.off()
bitmap(file='test7.png')
qqnorm(resid, main='Residual Normal Q-Q Plot')
dev.off()
ncols <- length(selection[[1]][1,])
nrows <- length(selection[[2]][,1])-1
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'ARIMA Parameter Estimation and Backward Selection', ncols+1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Iteration', header=TRUE)
for (i in 1:ncols) {
a<-table.element(a,names(selection[[3]][[1]]$coef)[i],header=TRUE)
}
a<-table.row.end(a)
for (j in 1:nrows) {
a<-table.row.start(a)
mydum <- 'Estimates ('
mydum <- paste(mydum,j)
mydum <- paste(mydum,')')
a<-table.element(a,mydum, header=TRUE)
for (i in 1:ncols) {
a<-table.element(a,round(selection[[1]][j,i],4))
}
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'(p-val)', header=TRUE)
for (i in 1:ncols) {
mydum <- '('
mydum <- paste(mydum,round(selection[[2]][j,i],4),sep='')
mydum <- paste(mydum,')')
a<-table.element(a,mydum)
}
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Estimated ARIMA Residuals', 1,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Value', 1,TRUE)
a<-table.row.end(a)
for (i in (par4*par5+par3):length(resid)) {
a<-table.row.start(a)
a<-table.element(a,resid[i])
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable1.tab')